Chapter 23: Advanced Data Types and New Applications
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Transcript Chapter 23: Advanced Data Types and New Applications
Chapter 25: Advanced Data Types and New Applications
Temporal Data
Spatial and Geographic Databases
Multimedia Databases
Mobility and Personal Databases
Database System Concepts - 6th Edition
25.1
Time In Databases
While most databases tend to model reality at a point in time (at the
“current” time), temporal databases model the states of the real world
across time.
Facts in temporal relations have associated time when they are valid,
which can be represented as a union of intervals. -> inputted by human
The transaction time for a fact is the time interval during which the fact
is current within the database system. -> recorded by system
In a temporal relation, each tuple has an associated time when it is true;
the time may be either valid time or transaction time.
A bi-temporal relation stores both valid and transaction time.
Database System Concepts - 6th Edition
25.2
Time In Databases (Cont.)
Example of a temporal relation:
Temporal query languages have been proposed to simplify modeling
of time as well as time related queries.
Database System Concepts - 6th Edition
25.3
Time Specification in SQL-92
date: four digits for the year (1--9999), two digits for the month (1--12),
and two digits for the date (1--31).
time: two digits for the hour, two digits for the minute, and two digits for
the second, plus optional fractional digits.
timestamp: the fields of date and time, with six fractional digits for the
seconds field.
Times are specified in the Universal Coordinated Time, abbreviated
UTC (from the French); supports time with time zone.
interval: refers to a period of time (e.g., 2 days and 5 hours), without
specifying a particular time when this period starts; different from the
one shown above as a pair of attributes “from” and “to”.
Database System Concepts - 6th Edition
25.4
Temporal Query Languages
Predicates precedes, overlaps, and contains on time intervals.
Intersect can be applied on two intervals, to give a single (possibly
empty) interval; the union of two intervals may or may not be a single
interval.
A snapshot of a temporal relation at time t consists of the tuples that
are valid at time t, with the time-interval attributes projected out.
Temporal selection: involves time attributes
Temporal projection: the tuples in the projection inherit their time-
intervals from the tuples in the original relation.
Temporal join: the time-interval of a tuple in the result is the
intersection of the time-intervals of the tuples from which it is derived. If
intersection is empty, tuple is discarded from join.
More temporal support is defined in SQL:2011.
Database System Concepts - 6th Edition
25.5
Spatial and Geographic Databases
Spatial databases store information related to spatial locations, and
support efficient storage, indexing and querying of spatial data.
Special purpose index structures are important for accessing spatial
data, and for processing spatial join queries.
Computer Aided Design (CAD) databases store design information
about how objects are constructed. E.g., designs of buildings, aircraft,
layouts of integrated-circuits
Geographic databases store geographic information (e.g., maps):
often called geographic information systems or GIS.
Database System Concepts - 6th Edition
25.6
Representation of Geometric Information
Various geometric constructs can be represented in a database in a
normalized fashion.
Represent a line segment by the coordinates of its endpoints.
Approximate a curve by partitioning it into a sequence of segments
Create a list of vertices in order, or
Represent each segment as a separate tuple that also carries with
it the identifier of the curve (2D features such as roads).
Closed polygons
List of vertices in order, starting vertex is the same as the ending
vertex, or
Represent boundary edges as separate tuples, with each
containing identifier of the polygon, or
Use triangulation — divide polygon into triangles
Note the polygon identifier with each of its triangles.
Database System Concepts - 6th Edition
25.7
Representation of Geometric Constructs
Database System Concepts - 6th Edition
25.8
Design Databases
Represent design components as objects (generally geometric
objects); the connections between the objects indicate how the
design is structured.
Simple two-dimensional objects: points, lines, triangles, rectangles,
polygons.
Complex two-dimensional objects: formed from simple objects via
union, intersection, and difference operations.
Complex three-dimensional objects: formed from simpler objects
such as spheres, cylinders, and cuboids (長方體), by union,
intersection, and difference operations.
Database System Concepts - 6th Edition
25.9
Representation of Geometric Constructs
Design databases also store non-spatial information about objects (e.g.,
construction material, color, etc.)
Spatial integrity constraints are important.
E.g., pipes should not intersect, wires should not be too close to
each other, etc.
Database System Concepts - 6th Edition
25.10
Geographic Data
Raster data consist of bit maps or pixel maps, in two or more
dimensions.
Example 2-D raster image: satellite image of cloud cover,
where each pixel stores the cloud visibility in a particular area.
Additional dimensions might include the temperature at
different altitudes at different regions, or measurements taken
at different points in time.
Design databases generally do not store raster data.
Database System Concepts - 6th Edition
25.11
Geographic Data (Cont.)
Vector data are constructed from basic geometric objects: points, line
segments, triangles, and other polygons in two dimensions, and
cylinders, spheres, cuboids, and other polyhedrons (多角體) in three
dimensions.
Vector formats are often used to represent map data.
Roads can be considered as two-dimensional and represented by
lines and curves.
Some features, such as rivers, may be represented either as
complex curves or as complex polygons, depending on whether
their width is relevant.
Features such as regions and lakes can be depicted as polygons.
Database System Concepts - 6th Edition
25.12
Applications of Geographic Data
Examples of geographic data
map data for vehicle navigation
distribution network information for power, telephones, water
supply, and sewage (下水道)
Vehicle navigation systems store information about roads and
services for the use of drivers:
Spatial data: e.g., road/restaurant/gas-station coordinates
Non-spatial data: e.g., one-way streets, speed limits, traffic
congestion
Global Positioning System (GPS): utilizes information broadcast
from GPS satellites to find the current location of users with an
accuracy of tens of meters.
widely used in vehicle navigation systems
Database System Concepts - 6th Edition
25.13
Spatial Queries
Nearness queries request objects that lie near a specified location.
Nearest neighbor queries, given a point or an object, find the
nearest object that satisfies given conditions. -> KNN query
Region queries deal with spatial regions. e.g., ask for objects that
lie partially or fully inside a specified region.
Queries that compute intersections or unions of regions.
Spatial join of two spatial relations with the location playing the role
of join attributes.
Database System Concepts - 6th Edition
25.14
Spatial Queries (Cont.)
Spatial data are typically queried using a graphical query language;
results are also displayed in a graphical manner.
Graphical interfaces constitute the front-end
Extensions of SQL with abstract data types, such as lines,
polygons and bit maps, have been proposed to interface with backend.
allows relational databases to store and retrieve spatial
information
Queries can use spatial conditions (e.g., contains or overlaps).
queries can mix spatial and nonspatial conditions
Supported DB software: MySQL, PostGIS, Oracle Spatial, MS
SQL Server, etc
Database System Concepts - 6th Edition
25.15
Indexing of Spatial Data
k-d tree - early structure used for indexing in multiple dimensions.
Each level of a k-d tree partitions the space into two.
choose one dimension for partitioning at the root level of the tree.
choose another dimensions for partitioning nodes at the next
level and so on, cycling through the dimensions.
In each node, approximately half of the points stored in the sub-tree
fall on one side and half on the other.
Partitioning stops when a node has less than a given maximum
number of points.
The k-d-B tree extends the k-d tree to allow multiple child nodes for
each internal node; well-suited for secondary storage.
Database System Concepts - 6th Edition
25.16
Division of Space by a k-d Tree
Each line in the figure (other than the outside box) corresponds to a
node in the k-d tree.
The maximum number of points in a leaf node has been set to 1.
The numbering of the lines in the figure indicates the level of the tree
at which the corresponding node appears.
Database System Concepts - 6th Edition
25.17
Division of Space by Quadtrees
Quadtrees
Each node of a quadtree is associated with a rectangular region of space;
the top node is associated with the entire target space.
Each non-leaf nodes divides its region into four equal sized quadrants
Correspondingly each such node has four child nodes corresponding to
the four quadrants and so on
Leaf nodes have between zero and some fixed maximum number of points
(set to 1 in example).
Database System Concepts - 6th Edition
25.18
Quadtrees (Cont.)
PR quadtree: stores points; space is divided based on regions, rather
than on the actual set of points stored.
Region quadtrees store array (raster) information.
A node is a leaf node if all the array values in the region that it
covers are the same. Otherwise, it is subdivided further into four
children of equal area, and is therefore an internal node.
Each node corresponds to a sub-array of values.
The sub-arrays corresponding to leaves either contain just a single
array element, or have multiple array elements, all of which have
the same value.
Extensions of k-d trees and PR quadtrees have been proposed to
index line segments and polygons
Require splitting segments/polygons into pieces at partitioning
boundaries
Same segment/polygon may be represented at several leaf
nodes
Database System Concepts - 6th Edition
25.19
R-Trees
R-trees are a N-dimensional extension of B+-trees, useful for
indexing sets of rectangles and other polygons.
Supported in many modern database systems, along with variants
like R+ -trees and R*-trees.
Basic idea: generalize the notion of a one-dimensional interval
associated with each B+ -tree node to an
N-dimensional interval, that is, an N-dimensional rectangle.
Will consider only the two-dimensional case (N = 2)
generalization for N > 2 is straightforward, although R-trees
work well only for relatively small N
Database System Concepts - 6th Edition
25.20
R Trees (Cont.)
A rectangular bounding box is associated with each tree node.
Bounding box of a leaf node is a minimum sized rectangle that
contains all the rectangles/polygons associated with the leaf node.
The bounding box associated with a non-leaf node contains the
bounding box associated with all its children.
Bounding box of a node serves as its key in its parent node (if any)
Bounding boxes of children of a node are allowed to overlap
A polygon is stored only in one node, and the bounding box of the
node must contain the polygon.
The storage efficiency or R-trees is better than that of k-d trees or
quadtrees since a polygon is stored only once.
Database System Concepts - 6th Edition
25.21
Example R-Tree
A set of rectangles (solid line) and the bounding boxes (dashed line) of the
nodes of an R-tree for the rectangles. The R-tree is shown on the right.
Database System Concepts - 6th Edition
25.22
Search in R-Trees
To find data items (rectangles/polygons) intersecting (overlapping) a
given query point/region, do the following, starting from the root node:
If the node is a leaf node, output the data items whose keys
intersect the given query point/region.
Else, for each child of the current node whose bounding box
overlaps the query point/region, recursively search the child
Can be very inefficient in worst case since multiple paths may need
to be searched
but works acceptably in practice.
Simple extensions of search procedure to handle predicates
contained-in and contains
Database System Concepts - 6th Edition
25.23
Insertion in R-Trees
To insert a data item:
Find a leaf to store it, and add it to the leaf
To find leaf, follow a child (if any) whose bounding box contains
the bounding box of the data item, else child whose overlap with
data item’s bounding box is maximum
Handle overflows by splits (as in B+-trees)
Split procedure is different though (see below)
Adjust bounding boxes starting from the leaf upwards
Split procedure:
Goal: divide entries of an overfull node into two sets such that the
bounding boxes have minimum total area
This is a heuristic. Alternatives like minimum overlap are
possible
Finding the “best” split is expensive, use heuristics instead
See next slide
Database System Concepts - 6th Edition
25.24
Splitting an R-Tree Node
Quadratic split divides the entries in a node into two new nodes as
follows
Find pair of entries with “maximum separation”
that is, the pair such that the bounding box of the two would
has the maximum wasted space (area of bounding box – sum
of areas of two entries)
2. Place these entries in two new nodes
1.
Repeatedly find the entry with “maximum preference” for one of the
two new nodes, and assign the entry to that node
Preference of an entry to a node is the increase in area of
bounding box if the entry is added to the other node
4. Stop when half the entries have been added to one node
Then assign remaining entries to the other node
3.
Cheaper linear split heuristic works in time linear in number of entries,
Cheaper but generates slightly worse splits.
Database System Concepts - 6th Edition
25.25
Deleting in R-Trees
Deletion of an entry in an R-tree done much like a B+-tree deletion.
In case of underfull node, borrow entries from a sibling if possible,
else merging sibling nodes
Alternative approach removes all entries from the underfull node,
deletes the node, then reinserts all entries
Database System Concepts - 6th Edition
25.26
Multimedia Databases
To provide database functions such as indexing and consistency, it
is desirable to store multimedia data in a database
rather than storing them outside the database, in a file system
The database must handle large object representation.
Similarity-based retrieval must be provided by special index
structures.
Must provide guaranteed steady retrieval rates for continuous-media
data.
Database System Concepts - 6th Edition
25.27
Multimedia Data Formats
Store and transmit multimedia data in compressed form
JPEG and GIF the most widely used formats for image data.
MPEG standard for video data use commonalties among a
sequence of frames to achieve a greater degree of
compression.
MPEG-1 quality comparable to VHS video tape.
stores a minute of 30-frame-per-second video and audio in
approximately 12.5 MB
MPEG-2 designed for digital broadcast systems and digital video
disks; negligible loss of video quality.
Compresses 1 minute of audio-video to approximately 17 MB.
Several alternatives of audio encoding
MPEG-1 Layer 3 (MP3), RealAudio, WindowsMedia format, etc.
Database System Concepts - 6th Edition
25.28
Continuous-Media Data
Most important types are video and audio data.
Characterized by high data volumes and real-time information-delivery
requirements.
Data must be delivered sufficiently fast that there are no gaps in the
audio or video.
Data must be delivered at a rate that does not cause overflow of
system buffers.
Synchronization among distinct data streams must be maintained
Video of a person speaking must show lips moving
synchronously with the audio
Database System Concepts - 6th Edition
25.29
Video Servers
Video-on-demand systems deliver video from central video servers,
across a network, to terminals
Must guarantee end-to-end delivery rates
Current video-on-demand servers are based on file systems; existing
database systems do not meet real-time response requirements.
Multimedia data are stored on several disks (RAID configuration), or on
tertiary storage for less frequently accessed data.
Head-end terminals - used to view multimedia data
PCs or TVs attached to a small, inexpensive computer called a settop box.
Database System Concepts - 6th Edition
25.30
Similarity-Based Retrieval
Examples of similarity based retrieval
Pictorial data: Two pictures or images that are slightly different as
represented in the database may be considered the same by a user.
E.g., identify similar designs for registering a new trademark.
Audio data: Speech-based user interfaces allow the user to give a
command or identify a data item by speaking.
E.g., test user input against stored commands.
Handwritten data: Identify a handwritten data item or command stored
in the database
Database System Concepts - 6th Edition
25.31
Mobile Computing Environments
A mobile computing environment consists of mobile computers,
referred to as mobile hosts, and a wired network of computers.
Mobile host may be able to communicate with wired network through
a wireless digital communication network
Wireless local-area networks (within a building)
E.g., Avaya’s Orinico Wireless LAN
Wide areas networks
Cellular digital packet networks
– 3 G and 2.5 G cellular networks
Database System Concepts - 6th Edition
25.32
Mobile Computing Environments (Cont.)
A model for mobile communication
Mobile hosts communicate to the wired network via computers
referred to as mobile support (or base) stations.
Each mobile support station manages those mobile hosts within its
cell.
When mobile hosts move between cells, there is a handoff of
control from one mobile support station to another.
Direct communication, without going through a mobile support station
is also possible between nearby mobile hosts
Supported, for e.g., by the Bluetooth standard (up to 10 meters,
atup to 721 kbps)
Database System Concepts - 6th Edition
25.33
Database Issues in Mobile Computing
New issues for query optimization.
Connection time charges and number of bytes transmitted
Energy (battery power) is a scarce resource and its usage must be
minimized
Mobile user’s locations may be a parameter of the query
GIS queries
Techniques to track locations of large numbers of mobile hosts
Broadcast data can enable any number of clients to receive the same
data at no extra cost
leads to interesting querying and data caching issues.
Users may need to be able to perform database updates even while the
mobile computer is disconnected.
E.g., mobile salesman records sale of products on (local copy of)
database.
Can result in conflicts detected on reconnection, which may need to
be resolved manually.
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25.34